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Finding the Fourth Proportional to 306,065.70, 459,098.55 and 272,823.30

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Solution

The fourth proportional to 306,065.70, 459,098.55 and 272,823.30 is: 409,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,065.70 : 459,098.55 = 272,823.30 : x
  2. Step 2: Convert to fraction form
    306,065.70/459,098.55 = 272,823.30/x
  3. Step 3: Cross multiply
    306,065.70x = 459,098.55 × 272,823.30
  4. Step 4: Simplify right side
    306,065.70x = 125,252,781,436.22
  5. Step 5: Solve for x
    x = 125,252,781,436.22/306,065.70
  6. Step 6: Final answer
    x = 409,234.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.